Monday

September 1, 2014

September 1, 2014

Posted by **Anonymous** on Thursday, January 19, 2012 at 10:33pm.

- geometry -
**Reiny**, Thursday, January 19, 2012 at 11:52pm(6x-1)^2 > (4x+1)^2 + (2x+1)^2 ,

36x^2 - 12x + 1 = 16x^2 + 8x + 1 + 4x^2 + 4x + 1

6x^2 - 24x -1 > 0

suppose we solve the corresponding equation

6x^2 - 24x -1 = 0

x = (24 ± √600)/12

=(24 ± 10√6)/24

= (12 ± 5√6)/12 = appr 2.0206 or a negative

but clearly 6x-1 > 0

x > 1/6

so it is obtuse for x > 2.0206

**Answer this Question**

**Related Questions**

Math - If all of the following triangles have the same perimeter, which has the ...

Geometry - 1. The sides of a triangle have lenghts x, x+4, and 20. Specify those...

geometry inequality triangles help if you can - Two sides of an obtuse triangle ...

geometry - If a triangle has sides of lengths a and b, which make a C-degree ...

ALGEBRA - The perimeter of a triangle is 52 centimeters. The longest is 2 ...

Algebra - The perimeter of a triangle is 52 centimeters. The longest is 2 ...

math - The lengths of the sides of a triangle are 4in.,14 in., and 16 in.If the...

geometry - An angle bisector of a triangle divides the opposite side of the ...

Geometry - Given the lengths of the sides of a triangle, identify the triangle ...

Geometry - The lengths of three sides of a triangle are given. Describe each ...